The Journal of Singularities is a peer-reviewed academic journal that focuses on the field of singularity theory, which is a branch of mathematics that studies spaces or objects that have some form of "singularity," or points where certain mathematical phenomena behave in a nonstandard or "ill-defined" way. This can include various areas such as algebraic geometry, differential topology, and more. The journal typically publishes research articles that contribute to the understanding of singularities in both theoretical and applied contexts.
Transactions of the American Mathematical Society (Trans. Amer. Math. Soc.) is a prestigious peer-reviewed scientific journal published by the American Mathematical Society. Established in 1900, the journal covers a wide range of topics in pure and applied mathematics. It publishes original research articles, which are typically longer and more comprehensive than those found in many other mathematics journals. The Transactions aims to promote the dissemination of significant mathematical results and is known for maintaining high standards in the selection and review process of submitted papers.
Probability and Mathematical Statistics are two closely related fields within the broader discipline of mathematics that deal with the analysis, interpretation, and presentation of numerical data and uncertainty. ### Probability **Probability** is the mathematical study of random phenomena. It provides a framework for quantifying uncertainty and making predictions about the likelihood of various outcomes. Here are some key concepts: 1. **Random Experiment**: An operation or process that produces outcomes that cannot be predicted with certainty.
Aleksandra Slavković is a prominent statistician known for her work in the field of statistical science, particularly relating to statistical methods, statistical learning, and data analysis. She is a faculty member, and her research often intersects with applications in various fields such as social sciences, environmental science, and health metrics. Slavković has contributed to both academic literature and the development of statistical methodologies.
Gonit Sora is an educational initiative based in India that focuses on promoting mathematical literacy among school children. It aims to make learning mathematics engaging and accessible, often through innovative teaching methods and resources. The initiative may include activities such as workshops, competitions, and various educational materials designed to stimulate interest in mathematics. The name "Gonit Sora" directly translates to "the sound of mathematics" in the Assamese language, reflecting its focus on mathematics education, particularly in the northeastern region of India.
"Haidao Suanjing" (海岛算经), typically translated as "The Island Calculation Manual" or "Mathematical Treatise on Islands," is a historical Chinese mathematical text. It is attributed to the mathematician Liu Hui during the third century and is part of the broader tradition of ancient Chinese mathematics. The text primarily deals with problems in geometry and is known for its use of practical problems, particularly in relation to surveying and land measurement.
The "Mathematical Treatise in Nine Sections" (also known as the "Nine Sections Mathematics" or "Nine Chapters on the Mathematical Art") is an ancient Chinese mathematical text that dates back to around the 1st century CE. It is part of the broader body of Chinese mathematics and is considered one of the foundational texts in the history of mathematics in China.
A **graphic matroid** is a specific type of matroid that is associated with the edges of a graph. Matroids are combinatorial structures that generalize the notion of linear independence in vector spaces. In the case of a graphic matroid, the underlying set is composed of the edges of a graph, and the independent sets are defined based on the cycles of that graph.
A **rigidity matroid** is a concept from matroid theory, specifically in the study of frameworks in geometry. It arises in the context of studying the configurations of points and the rigidity of structures that can be formed by those points. In informal terms, a rigidity matroid captures the idea of whether a framework (like a structure made of points connected by bars) can be deformed without changing the distances between points.
A ball detent is a mechanical component used to provide a locking or positioning function in various applications. It typically consists of a spherical ball that is housed in a cavity, often in conjunction with a spring. The ball can move into and out of a groove or a notch in a mating part, thereby locking it in place or allowing it to move freely.
Mechanical engineering awards are recognitions given to individuals, teams, or organizations for outstanding achievements, innovations, and contributions in the field of mechanical engineering. These awards can come from professional associations, academic institutions, or industry organizations and can cover a wide range of categories, including research, teaching, design, and technological advancements.
In the context of engineering, particularly in the fields of robotics, spacecraft dynamics, and control systems, "nutation" refers to a small oscillatory motion or variation in the orientation of a rotating body. This phenomenon is often considered when analyzing the attitude dynamics of spacecraft, where it may occur due to imbalances in mass distribution, aerodynamic forces, or control efforts.
Constant Air Volume (CAV) is a type of heating, ventilation, and air conditioning (HVAC) system design where a constant volume of air is delivered to the occupied space, regardless of the heating or cooling load. In a CAV system, the airflow is typically constant, and the temperature of the air is adjusted to meet the thermal comfort needs of the occupants.
Self-propulsion refers to the ability of an object or organism to move or propel itself without relying on external forces or mechanisms. This term is often used in various contexts, including: 1. **Biological Context**: Many organisms, such as animals and certain microorganisms, are capable of self-propulsion through their own biological processes. For example, fish swim using their fins, while insects may use wings to fly.
Torque density is a measure of the torque produced per unit volume or mass of a motor or engine. It is an important parameter in evaluating the efficiency and performance of electromechanical systems, such as electric motors, generators, or internal combustion engines. There are typically two forms of torque density: 1. **Volumetric Torque Density**: This is defined as the torque produced divided by the volume of the motor or engine.
The Egg of Columbus is a mechanical puzzle that typically features a task where the objective is to balance an egg on a stand or a base, often requiring a clever manipulation of parts or an understanding of physics. The name comes from the legendary story of Christopher Columbus, who is said to have demonstrated the concept of the egg's ability to stand upright after someone challenged him to show how it could be done.
A sliding puzzle is a type of mechanical puzzle that consists of a frame divided into a grid of square tiles. One tile is missing, creating an empty space that allows the adjacent tiles to slide into that space. The objective of the puzzle is typically to arrange the tiles in a specific order or to form a particular image or pattern by sliding the tiles into the empty space.
Pinned article: Introduction to the OurBigBook Project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 3. Visual Studio Code extension installation.Figure 4. Visual Studio Code extension tree navigation.Figure 5. Web editor. You can also edit articles on the Web editor without installing anything locally.Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.Video 4. OurBigBook Visual Studio Code extension editing and navigation demo. Source. - Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact





